Question

Simplify the expression.
16 • 4^-4
A. 256
B. -256
C. 1/16
D. -4,096

Answer 1

C. 1/16

Explanation:

`16 * 4^(-4)`

16 can be written as a power of 4.

`4^2 * 4^(-4)`

The bases are same, add exponents.

`4^(2+-4)`

`4^(-2)`

Simplify negative exponent.

`(1)/(4^2 )`

`(1)/(16)`